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Finding the Third Proportional to 187,672 and 281,755

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Solution

The third proportional to 187,672 and 281,755 is: 423,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,672 : 281,755 = 281,755 : x
  2. Step 2: Convert to fraction form
    187,672/281,755 = 281,755/x
  3. Step 3: Cross multiply
    187,672x = 281,755 × 281,755
  4. Step 4: Simplify right side
    187,672x = 79,385,880,025
  5. Step 5: Solve for x
    x = 79,385,880,025/187,672
  6. Step 6: Final answer
    x = 423,003.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.